181 citations · 932 across the 27 of their papers we have counts for
28 papers
Split-quaternionic structure and canonical quantization of the Bateman dual oscillator
Mathieu Beau
Bateman's dual oscillator embeds a damped harmonic oscillator and an independent anti-damped adjoint coordinate in a conservative doubled system. We develop a split-quaternionic fo…
Unitarity breaking in self-averaging spectral form factors
Apollonas S. Matsoukas-Roubeas, Mathieu Beau, Lea F. Santos +1
The complex Fourier transform of the two-point correlator of the energy spectrum of a quantum system is known as the spectral form factor (SFF). It constitutes an essential diagnos…
Large Deviations Beyond the Kibble-Zurek Mechanism
Federico Balducci, Mathieu Beau, Jing Yang +2
The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling…
Quantum delay in the time of arrival of free-falling atoms
Mathieu Beau, Lionel Martellini
Using standard results from statistics, we show that for Gaussian quantum systems the distribution of a time measurement at a fixed position can be directly inferred from the distr…
Parent Hamiltonians of Jastrow Wavefunctions
Mathieu Beau, Adolfo del Campo
We find the complete family of many-body quantum Hamiltonians with ground-state of Jastrow form involving the pairwise product of a pair function in an arbitrary spatial dimension.…
Dark solitons in a trapped gas of long-range interacting bosons
M. Beau, A. del Campo, D. J. Frantzeskakis +2
We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapp…